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New Recursive Approximations for Variable-Order Fractional Operators with Applications

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dc.contributor.author Zaky, Mahmoud A.
dc.contributor.author Doha, Eid H.
dc.contributor.author Taha, Taha M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2019-12-25T11:39:36Z
dc.date.available 2019-12-25T11:39:36Z
dc.date.issued 2018
dc.identifier.citation Zaky, Mahmoud A...et al. (2018). "New Recursive Approximations for Variable-Order Fractional Operators with Applications", Mathematical Modelling and Analysis, Vol. 23, No. 2, pp. 227-239. tr_TR
dc.identifier.issn 1392-6292
dc.identifier.uri http://hdl.handle.net/20.500.12416/2263
dc.description.abstract To broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation. In this paper, we develop Laguerre spectral collocation methods for solving variable-order fractional initial value problems on the half line. Specifically, we derive three-term recurrence relations to efficiently calculate the variable-order fractional integrals and derivatives of the modified generalized Laguerre polynomials, which lead to the corresponding fractional differentiation matrices that will be used to construct the collocation methods. Comparison with other existing methods shows the superior accuracy of the proposed spectral collocation methods. tr_TR
dc.language.iso eng tr_TR
dc.publisher Vilnius Gediminas Tech Univ tr_TR
dc.relation.isversionof 10.3846/mma.2018.015 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Spectral Collocation Methods tr_TR
dc.subject Modified Generalized Laguerre Polynomials tr_TR
dc.subject Variable Order Fractional Integrals and Derivatives tr_TR
dc.subject Bagley-Torvik Equation tr_TR
dc.title New Recursive Approximations for Variable-Order Fractional Operators with Applications tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Modelling and Analysis tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 23 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 227 tr_TR
dc.identifier.endpage 239 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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